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Finding the Fourth Proportional to 212.24, 293.10 and 200.74

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Solution

The fourth proportional to 212.24, 293.10 and 200.74 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 293.10 = 200.74 : x
  2. Step 2: Convert to fraction form
    212.24/293.10 = 200.74/x
  3. Step 3: Cross multiply
    212.24x = 293.10 × 200.74
  4. Step 4: Simplify right side
    212.24x = 58,836.89
  5. Step 5: Solve for x
    x = 58,836.89/212.24
  6. Step 6: Final answer
    x = 277.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.